A017773 Binomial coefficients C(57,n).

1, 57, 1596, 29260, 395010, 4187106, 36288252, 264385836, 1652411475, 8996462475, 43183019880, 184509266760, 707285522580, 2448296039700, 7694644696200, 22057981462440, 57902201338905, 139646485582065, 310325523515700, 636983969321700

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 57 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..57 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017772, A017774-A017816.

Programs

Magma

[Binomial(57,n): n in [0..57]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(57,n), n=0..57); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[57, Range[0,57]] (* G. C. Greubel, Nov 13 2018 *)

PARI

vector(57, n, n--; binomial(57,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(57, n) for n in range(58)] # Zerinvary Lajos, May 28 2009

Formula

From G. C. Greubel, Nov 13 2018: (Start)

G.f.: (1+x)^57.

E.g.f.: 1F1(-57; 1; -x), where 1F1 is the confluent hypergeometric function. (End)